Variational Problems and Applications
The current reprint presents studies of uncertain variational problems. It aims to develop the research in this field by formulating and demonstrating some characterization results of well-posedness and robust efficient solutions in new classes of (multiobjective) variational (control) problems gove...
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| Formaat: | Online |
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| Taal: | Engels |
| Gepubliceerd in: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Online toegang: | ONIX_20230405_9783036565897_22 |
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| _version_ | 1869520848536207360 |
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| collection | Directory of Open Access Books |
| description | The current reprint presents studies of uncertain variational problems. It aims to develop the research in this field by formulating and demonstrating some characterization results of well-posedness and robust efficient solutions in new classes of (multiobjective) variational (control) problems governed by multiple and/or path-independent curvilinear integral cost functionals and robust mixed and/or isoperimetric constraints involving first- and second-order partial differential equations. |
| format | Online |
| id | doab-20.500.12854ir-98743 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-987432024-03-30T12:51:24Z Variational Problems and Applications Treanta, Savin Lagrange 1-form second-order Lagrangian normal weak robust optimal solution modified objective function method robust saddle-point real analysis Riemann integral change of variable constrained variational problem well-posedness multiple integral functional gH-symmetrically derivative optimality conditions wolfe duality symmetric pseudo-convexity symmetric quasi-convexity LR-χ-pre-invex interval-valued function interval Riemann–Liouville fractional integral operator Hermite–Hadamard inequality Hermite–Hadamard Fejér inequality Hermite–Hadamard inequalities harmonical convex functions interval-valued functions fractional integrals left and right preinvex interval-valued function interval Riemann integral Hermite–Hadamard type inequality Hermite–Hadamard–Fejér type inequality nonlinear function constrained optimization hybrid algorithm global optima line search gradient method meta-heuristics simulated annealing algorithm constraint handling penalty function evolutionary computation numerical comparisons metaheuristics feature selection classification nonlocal modified Korteweg–de Vries equation consistent tanh expansion method parity-time symmetry multi-time controlled Lagrangian of second-order isoperimetric constraints Euler–Lagrange equations multiple integral differential 1-form curvilinear integral variational inequalities nonlinear programming switching constraints stationary conditions interval-valued optimization polynomial approximation unbounded subsets Markov moment problem positive operators solution existence uniqueness sums of squares Banach lattices BVP nonlinear problems variational methods estimating nonlinearities Green function n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science The current reprint presents studies of uncertain variational problems. It aims to develop the research in this field by formulating and demonstrating some characterization results of well-posedness and robust efficient solutions in new classes of (multiobjective) variational (control) problems governed by multiple and/or path-independent curvilinear integral cost functionals and robust mixed and/or isoperimetric constraints involving first- and second-order partial differential equations. 2023-04-05T12:48:54Z 2023-04-05T12:48:54Z 2023 book ONIX_20230405_9783036565897_22 9783036565897 9783036565880 https://directory.doabooks.org/handle/20.500.12854/98743 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/6750 https://mdpi.com/books/pdfview/book/6750 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-6588-0 10.3390/books978-3-0365-6588-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036565897 9783036565880 222 Basel open access |
| spellingShingle | Lagrange 1-form second-order Lagrangian normal weak robust optimal solution modified objective function method robust saddle-point real analysis Riemann integral change of variable constrained variational problem well-posedness multiple integral functional gH-symmetrically derivative optimality conditions wolfe duality symmetric pseudo-convexity symmetric quasi-convexity LR-χ-pre-invex interval-valued function interval Riemann–Liouville fractional integral operator Hermite–Hadamard inequality Hermite–Hadamard Fejér inequality Hermite–Hadamard inequalities harmonical convex functions interval-valued functions fractional integrals left and right preinvex interval-valued function interval Riemann integral Hermite–Hadamard type inequality Hermite–Hadamard–Fejér type inequality nonlinear function constrained optimization hybrid algorithm global optima line search gradient method meta-heuristics simulated annealing algorithm constraint handling penalty function evolutionary computation numerical comparisons metaheuristics feature selection classification nonlocal modified Korteweg–de Vries equation consistent tanh expansion method parity-time symmetry multi-time controlled Lagrangian of second-order isoperimetric constraints Euler–Lagrange equations multiple integral differential 1-form curvilinear integral variational inequalities nonlinear programming switching constraints stationary conditions interval-valued optimization polynomial approximation unbounded subsets Markov moment problem positive operators solution existence uniqueness sums of squares Banach lattices BVP nonlinear problems variational methods estimating nonlinearities Green function n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science Variational Problems and Applications |
| title | Variational Problems and Applications |
| title_full | Variational Problems and Applications |
| title_fullStr | Variational Problems and Applications |
| title_full_unstemmed | Variational Problems and Applications |
| title_short | Variational Problems and Applications |
| title_sort | variational problems and applications |
| topic | Lagrange 1-form second-order Lagrangian normal weak robust optimal solution modified objective function method robust saddle-point real analysis Riemann integral change of variable constrained variational problem well-posedness multiple integral functional gH-symmetrically derivative optimality conditions wolfe duality symmetric pseudo-convexity symmetric quasi-convexity LR-χ-pre-invex interval-valued function interval Riemann–Liouville fractional integral operator Hermite–Hadamard inequality Hermite–Hadamard Fejér inequality Hermite–Hadamard inequalities harmonical convex functions interval-valued functions fractional integrals left and right preinvex interval-valued function interval Riemann integral Hermite–Hadamard type inequality Hermite–Hadamard–Fejér type inequality nonlinear function constrained optimization hybrid algorithm global optima line search gradient method meta-heuristics simulated annealing algorithm constraint handling penalty function evolutionary computation numerical comparisons metaheuristics feature selection classification nonlocal modified Korteweg–de Vries equation consistent tanh expansion method parity-time symmetry multi-time controlled Lagrangian of second-order isoperimetric constraints Euler–Lagrange equations multiple integral differential 1-form curvilinear integral variational inequalities nonlinear programming switching constraints stationary conditions interval-valued optimization polynomial approximation unbounded subsets Markov moment problem positive operators solution existence uniqueness sums of squares Banach lattices BVP nonlinear problems variational methods estimating nonlinearities Green function n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | Lagrange 1-form second-order Lagrangian normal weak robust optimal solution modified objective function method robust saddle-point real analysis Riemann integral change of variable constrained variational problem well-posedness multiple integral functional gH-symmetrically derivative optimality conditions wolfe duality symmetric pseudo-convexity symmetric quasi-convexity LR-χ-pre-invex interval-valued function interval Riemann–Liouville fractional integral operator Hermite–Hadamard inequality Hermite–Hadamard Fejér inequality Hermite–Hadamard inequalities harmonical convex functions interval-valued functions fractional integrals left and right preinvex interval-valued function interval Riemann integral Hermite–Hadamard type inequality Hermite–Hadamard–Fejér type inequality nonlinear function constrained optimization hybrid algorithm global optima line search gradient method meta-heuristics simulated annealing algorithm constraint handling penalty function evolutionary computation numerical comparisons metaheuristics feature selection classification nonlocal modified Korteweg–de Vries equation consistent tanh expansion method parity-time symmetry multi-time controlled Lagrangian of second-order isoperimetric constraints Euler–Lagrange equations multiple integral differential 1-form curvilinear integral variational inequalities nonlinear programming switching constraints stationary conditions interval-valued optimization polynomial approximation unbounded subsets Markov moment problem positive operators solution existence uniqueness sums of squares Banach lattices BVP nonlinear problems variational methods estimating nonlinearities Green function n/a thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20230405_9783036565897_22 |